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Old 17th July 2012, 05:23 PM   #1 (permalink)
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Sec 3 A Maths Question

Hi,

Can someone help me with this question? Thanks.

Q1. Show that x-2y is a factor of x^3+2x^2 y-5xy^2-6y^3 and find the other two factors.

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Old 17th July 2012, 05:39 PM   #2 (permalink)
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Re: Sec 3 A Maths Question

Long division. you should get x^2 + 4xy + 3y^2 as the answer. Further factorise into x+y and x+3y. QED.

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Old 17th July 2012, 09:10 PM   #3 (permalink)
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Re: Sec 3 A Maths Question

Originally Posted by k1ndan39 View Post
Hi,

Can someone help me with this question? Thanks.

Q1. Show that x-2y is a factor of x^3+2x^2 y-5xy^2-6y^3 and find the other two factors.
To show that it is a factor, you need to show that when x-2y=0, the equation also = 0.

x=2y

8y^3+2(4y^2)y-5(2y)y^2-6y^3
= 8y^3 + 8y^3 - 10y^3 - 6y^3
= 0 (shown)

Then, perform long division to find the factors (stated above)

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Old 17th July 2012, 09:37 PM   #4 (permalink)
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Re: Sec 3 A Maths Question

Ez larh. Subst. X=2y into the Eqn. It will =0. Thus, it is a factor. Then long division

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